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WoksForMe(TM) on 9.3.rc5 ... provided you provide the right information :
sage: var("x, alpha, beta", domain="positive")
(x, alpha, beta)
sage: assume(alpha,"noninteger")
sage: integrate(x^(alpha-1)*e^(-beta*x),x,0,oo)
gamma(alpha)/beta^alpha
From sage.symbolic.assumptions?
:
Here is the list of acceptable features::
sage: maxima('features')
[integer,noninteger,even,odd,rational,irrational,real,imaginary,complex,analytic,increasing,decreasing,oddfun,evenfun,posfun,constant,commutative,lassociative,rassociative,symmetric,antisymmetric,integervalued]
As far as I recall, one of the examples of assuming
uses the integration of the gamma distribution to illustrate how to (temporarily) assume alpha
being noninteger.